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Finding the Fourth Proportional to 136,585.80, 205,000.20 and 80,355.60

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Solution

The fourth proportional to 136,585.80, 205,000.20 and 80,355.60 is: 120,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,585.80 : 205,000.20 = 80,355.60 : x
  2. Step 2: Convert to fraction form
    136,585.80/205,000.20 = 80,355.60/x
  3. Step 3: Cross multiply
    136,585.80x = 205,000.20 × 80,355.60
  4. Step 4: Simplify right side
    136,585.80x = 16,472,914,071.12
  5. Step 5: Solve for x
    x = 16,472,914,071.12/136,585.80
  6. Step 6: Final answer
    x = 120,604.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.